document.write( "Question 212753: Solve by Graphing: y=2x-4 with y=-3x+1 just below.
\n" ); document.write( "Can you please explain how the answer was brought about? Thank you. -Leona \n" ); document.write( "

Algebra.Com's Answer #160684 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
To graph these linear equations, you need plot only two points for each graph.
\n" ); document.write( "These two points are called the x- and y-intercepts and are found by setting x = 0 then solving for y and setting y = 0 then solving for x:
\n" ); document.write( "For the first equation:
\n" ); document.write( " $\"y+=+2x-4\"$ Set x = 0.
\n" ); document.write( " $\"y+=+2%280%29-4\"$
\n" ); document.write( " $\"y+=+-4\"$
\n" ); document.write( "The first point is (0, -4)
\n" ); document.write( " $\"y+=+2x-4\"$ set y = 0.
\n" ); document.write( " $\"0+=+2x-4\"$ Add 4 to both sides of the equation.
\n" ); document.write( " $\"4+=+2x\"$ Now divide both sides by 2.
\n" ); document.write( " $\"2+=+x\"$
\n" ); document.write( "The second point is (2, 0)
\n" ); document.write( "Plot these two points on your coordinate graph paper on which you have previously drawn the x-axis (horizontal) and the y-axis (vertical), then draw a straight line through the two points.
\n" ); document.write( "Similarly for the second equation, the two points are:
\n" ); document.write( "(0, 1) and (1/3, 0)
\n" ); document.write( "The graph should look like this:
\n" ); document.write( " $\"graph%28400%2C400%2C-5%2C5%2C-5%2C5%2C2x-4%2C-3x%2B1%29\"$
\n" ); document.write( "The point at which the two lines intersect (1, -2) is called the \"solution\". \n" ); document.write( "

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